506399292 has 72 divisors (see below), whose sum is σ = 1474543616. Its totient is φ = 143537184.

The previous prime is 506399287. The next prime is 506399317. The reversal of 506399292 is 292993605.

506399292 is a `hidden beast` number, since 5 + 0 + 639 + 9 + 2 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24093 + ... + 39915.

Almost surely, 2^506399292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506399292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737271808).

506399292 is an abundant number, since it is smaller than the sum of its proper divisors (968144324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506399292 is a wasteful number, since it uses less digits than its factorization.

506399292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15967 (or 15962 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 506399292 is about 22503.3173554478. The cubic root of 506399292 is about 797.0722630997.

The spelling of 506399292 in words is "five hundred six million, three hundred ninety-nine thousand, two hundred ninety-two".